90121344 has 64 divisors (see below), whose sum is σ = 245893440. Its totient is φ = 29223936.

The previous prime is 90121333. The next prime is 90121349. The reversal of 90121344 is 44312109.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (90121349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11037 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (3842085).

Almost surely, 2^90121344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122946720).

90121344 is an abundant number, since it is smaller than the sum of its proper divisors (155772096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90121344 is a wasteful number, since it uses less digits than its factorization.

90121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90121344 is about 9493.2262166241. The cubic root of 90121344 is about 448.3417884959.

The spelling of 90121344 in words is "ninety million, one hundred twenty-one thousand, three hundred forty-four".